Quaternions for Computer Graphics
Autor John Vinceen Limba Engleză Paperback – 14 aug 2014
Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive.
Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.
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| SPRINGER LONDON – 12 iun 2011 | 502.51 lei 6-8 săpt. |
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Specificații
ISBN-13: 9781447161073
ISBN-10: 1447161076
Pagini: 156
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.23 kg
Ediția:2011
Editura: SPRINGER LONDON
Colecția Springer
Locul publicării:London, United Kingdom
ISBN-10: 1447161076
Pagini: 156
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.23 kg
Ediția:2011
Editura: SPRINGER LONDON
Colecția Springer
Locul publicării:London, United Kingdom
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Public țintă
GraduateCuprins
Introduction.-Number
Sets
and
Algebra.-Complex
Numbers.-The
Complex
Plane.-Quaternion
Algebra.-3D
Rotation
Transforms.-Quaternions
in
Space.-Conclusion.
Recenzii
From
the
reviews:
“The goal of this book is to demonstrate the use of quaternions for rotating objects in three-dimensional space, a frequent requirement in computer graphics. The target audience is computer graphics developers … . Brief historical notes appear throughout. … Summing Up: … . Upper-division undergraduates through professionals/practitioners.” (C. A. Gorini, Choice, Vol. 49 (8), April, 2012)
“This is a neat little book on real and complex numbers as well as quaternions. … book is devoted to the algebra of numbers and the rest covers quaternions. The section on quaternion is spiced up with their application to 3-D rotation. Pedagogically the book is well written, it is easy to follow, even a good high school student would be able to understand … . If you are a bookworm or a book collector and like mathematical plums, this is the book for you.” (Leslie P. Piegl, Zentralblatt MATH, Vol. 1233, 2012)
“The goal of this book is to demonstrate the use of quaternions for rotating objects in three-dimensional space, a frequent requirement in computer graphics. The target audience is computer graphics developers … . Brief historical notes appear throughout. … Summing Up: … . Upper-division undergraduates through professionals/practitioners.” (C. A. Gorini, Choice, Vol. 49 (8), April, 2012)
“This is a neat little book on real and complex numbers as well as quaternions. … book is devoted to the algebra of numbers and the rest covers quaternions. The section on quaternion is spiced up with their application to 3-D rotation. Pedagogically the book is well written, it is easy to follow, even a good high school student would be able to understand … . If you are a bookworm or a book collector and like mathematical plums, this is the book for you.” (Leslie P. Piegl, Zentralblatt MATH, Vol. 1233, 2012)
Textul de pe ultima copertă
Sir
William
Rowan
Hamilton
was
a
genius,
and
will
be
remembered
for
his
significant
contributions
to
physics
and
mathematics.
TheHamiltonian,which
is
used
in
quantum
physics
to
describe
the
total
energy
of
a
system,
would
have
been
a
major
achievement
for
anyone,
but
Hamilton
also
invented
quaternions,
which
paved
the
way
for
modern
vector
analysis.
Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive.
Quaternions for Computer Graphicsintroduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.
Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive.
Quaternions for Computer Graphicsintroduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.
Caracteristici
Provides
valuable
historical
facts
on
the
features
of
quaternions
their
associated
algebra
and
how
they
can
be
used
in
computer
graphics.
Describes the concepts of sets, groups, fields and rings in order to enable the reader to design and code quaternion algorithms.
Contains many illustrations and worked examples.
Describes the concepts of sets, groups, fields and rings in order to enable the reader to design and code quaternion algorithms.
Contains many illustrations and worked examples.
Notă biografică
Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centered on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK’s first MSc course in Computer Graphics and developed a popular program of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as a Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a DSc by Brunel University in recognition of his work in computer graphics. He has written and edited over 45 books on computer graphics, computer animation, computerscience and virtual reality, including the following Springer titles:
• Mathematics for Computer Graphics, 5th edition (2017)
• Calculus for Computer Graphics, 2nd edition (2019)
• Imaginary Mathematics for Computer Science, (2018)
• Foundation Mathematics for Computer Science, 2nd edition (2015)
• Matrix Transforms for Computer Games and Animation (2012)
• Expanding the Frontiers of Visual Analytics and Visualization (2012)
• Quaternions for Computer Graphics (2011)
• Rotation Transforms for Computer Graphics (2011)
• Geometric Algebra: An Algebraic System for Computer Animation and Games (2009) • Geometric Algebra for Computer Graphics (2008)
• Calculus for Computer Graphics, 2nd edition (2019)
• Imaginary Mathematics for Computer Science, (2018)
• Foundation Mathematics for Computer Science, 2nd edition (2015)
• Matrix Transforms for Computer Games and Animation (2012)
• Expanding the Frontiers of Visual Analytics and Visualization (2012)
• Quaternions for Computer Graphics (2011)
• Rotation Transforms for Computer Graphics (2011)
• Geometric Algebra: An Algebraic System for Computer Animation and Games (2009) • Geometric Algebra for Computer Graphics (2008)